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mcqs of
,
1 : A triangle can be constructed if the sum of the measure of any two sides is ______ the measure of the third side.
1
:
less than
2
:
greater than
3
:
equal to
4
:
greater than and equal to
2 : An equilateral triangle
1
:
can be isosceles
2
:
can be right angled
3
:
can be obtuse angled
4
:
has each angle equal to 50°
3 : If the sum of the measures of two angles is less than 90°, then the triangle is
1
:
equilateral
2
:
acute angled
3
:
obtuse angled
4
:
right angled
4 : The angle bisectors of a triangle intersect at
1
:
one point
2
:
two points
3
:
three points
4
:
four points
5 : Locus of points equidistant from a fixed line is/are:
1
:
circle
2
:
perpendicular bisector
3
:
angle bisector
4
:
parallel lines
6 : Locus of all points equidistant from a fixed point is:
1
:
circle
2
:
perpendicular bisector
3
:
angle bisector
4
:
parallel lines
7 : Locus of points equidistant from two fixed points is:
1
:
circle
2
:
perpendicular bisector
3
:
angle bisector
4
:
parallel lines
8 : The line segment joining the midpoint of a side to its opposite vertex in a triangle is called
1
:
median
2
:
perpendicular bisector
3
:
angle bisector
4
:
altitude
9 : Which of the following is used to measure the angle?
1
:
compass
2
:
protractor
3
:
scale
4
:
set square
10 : Locus of points equidistant from two intersecting lines is
1
:
circle
2
:
perpendicular bisector
3
:
angle bisector
4
:
parallel lines
11 : A perpendicular from a vertex of triangle to the opposite side is called:
1
:
Altitude
2
:
Median
3
:
Angle bisector
4
:
Right bisector
12 : Point of concurrency of three medians of a triangle is called its:
1
:
Incenter
2
:
Orthocenter
3
:
Centroid
4
:
Circumcenter
13 : Which of the following can be constructed by compass?
1
:
105°
2
:
125°
3
:
130°
4
:
55°
14 : Which of the following cannot be constructed with compass?
1
:
15°
2
:
30°
3
:
45°
4
:
95°
15 : Circumcenter is the point of concurrency of three _______ of triangle.
1
:
Right bisectors
2
:
Angle bisectors
3
:
Altitudes
4
:
Medians
16 : Centroid is the point of concurrency of three _______ of triangle.
1
:
Right bisectors
2
:
Angle bisectors
3
:
Altitudes
4
:
Medians
17 : If two medians of a triangle are congruent then the triangle will be:
1
:
Isosceles
2
:
Equilateral
3
:
Right angled
4
:
Acute angled
18 : The set of all points farther than 2 km from a fixed point B is a region outside a circle of radius ______ and centre at B
1
:
1.9 km
2
:
1 km
3
:
2 km
4
:
2.1 km
19 : Sum of interior angles of a triangle is:
1
:
60°
2
:
120°
3
:
180°
4
:
240°
20 : The circumcenter of right triangle lies on the _______ of triangle.
1
:
vertex
2
:
altitude
3
:
hypotenuse
4
:
base
21 : The right bisectors of the three sides of a triangle are:
1
:
Congruent
2
:
Collinear
3
:
Concurrent
4
:
Parallel
22 : A triangle having two sides congruent is called:
1
:
Scalene
2
:
Right angled
3
:
Equilateral
4
:
Isosceles
23 : A triangle having all sides different is called:
1
:
Isosceles
2
:
Scalene
3
:
Equilateral
4
:
Right
24 : The angle bisectors of the angles of a triangle are:
1
:
Congruent
2
:
Collinear
3
:
Concurrent
4
:
Parallel
25 : A triangle having all sides equal is called:
1
:
Isosceles
2
:
Scalene
3
:
Equilateral
4
:
Right
26 : Orthocenter is the point of concurrency of three _______ of triangle.
1
:
Right bisectors
2
:
Angle bisectors
3
:
Altitudes
4
:
Medians
27 : Incenter is the point of concurrency of three _______ of triangle.
1
:
Right bisectors
2
:
Angle bisectors
3
:
Altitudes
4
:
Medians
28 : If incenter, circumcenter, orthocenter and centroid of a triangle coincide then triangle is:
1
:
Isosceles
2
:
Equilateral
3
:
Right angled
4
:
Acute angled
29 : The orthocenter of an acute triangle lies _______ of triangle.
1
:
Inside
2
:
Outside
3
:
Midpoint
4
:
vertex of
30 : The incenter of any triangle always lies _______ the triangle
1
:
Outside
2
:
Inside
3
:
Midpoint
4
:
on base of
31 : The point of concurrency of the three altitudes of a triangle is called its:
1
:
Orthocenter
2
:
Incenter
3
:
Circumcenter
4
:
Centroid
32 : In right-angled triangle one angle is right, other two angles are:
1
:
right
2
:
obtuse
3
:
acute
4
:
one acute, one obtuse
33 : The centroid of any triangle always lies _______ the triangle
1
:
Outside
2
:
Inside
3
:
Midpoint
4
:
on base of
34 : Locus is a _______ word.
1
:
English
2
:
German
3
:
French
4
:
Latin
35 : A locus is a set of points that follow a given:
1
:
Instructions
2
:
rule
3
:
variable
4
:
value
36 : To find the location equidistant from two towns, which locus do we have to draw?
1
:
circle
2
:
perpendicular bisector
3
:
angle bisector
4
:
Parallel lines
37 : The garbage dumping area must be 5km away from the city. Which locus do we have to draw?
1
:
circle
2
:
perpendicular bisector
3
:
angle bisector
4
:
Parallel lines
38 : A locus of point equidistant from a line segment creates a shape:
1
:
circle
2
:
rectangle
3
:
sausage
4
:
pair of parallel lines
39 : The bisectors of the angles of a triangle meet at a point called:
1
:
Incenter
2
:
Orthocenter
3
:
Circumcenter
4
:
Centroid
40 : The point of concurrency of the three right bisectors of the sides of a triangle is called:
1
:
Circumcenter
2
:
Incenter
3
:
Orthocenter
4
:
Centroid
Chapter 11 : Loci and Construction
Math 9th MCQs || Ilam Ghar
Math 9th